exponent laws

Front

What is the definition of an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What does the expression 2^3 mean?

Back

2^3 means 2 multiplied by itself 3 times: 2 x 2 x 2 = 8.

Front

What is the base in the expression 5^4?

Back

The base is 5.

Front

What is the value of 3^0?

Back

Any non-zero number raised to the power of 0 is 1, so 3^0 = 1.

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of 4^2?

Back

4^2 = 4 x 4 = 16.

Front

Simplify: (3^2)^3

Back

(3^2)^3 = 3^(2*3) = 3^6.

Front

What is the value of 10^1?

Back

10^1 = 10.